映射类群中的一致收敛性
Uniform convergence in the mapping class group
摘要:
利用极限集零轨迹上的一致收敛性作用刻画了曲面映射类群的凸余紧子群。我们还构造了子群,作为一致收敛性集团在其极限集,但不是凸余紧。
英文摘要:
We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct subgroups that act as uniform convergence groups on their limit sets, but are not convex cocompact.
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